Extensions of discrete Helly theorems for boxes

T Edwards, P Soberón - arXiv preprint arXiv:2404.14308, 2024 - arxiv.org
We prove extensions of Halman's discrete Helly theorem for axis-parallel boxes in $\mathbb
{R}^ d $. Halman's theorem says that, given a set $ S $ in $\mathbb {R}^ d $, if $ F $ is a …